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Product Description
From Real to Complex AnalysisAuthor(s): R. H. Dyer, D. E. Edmunds
Format: Paperback
Publisher: Springer International Publishing AG, Switzerland
Imprint: Springer International Publishing AG
ISBN-13: 9783319062082, 978-3319062082
Synopsis
The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis and topology.
Beginning with the theory of the Riemann integral (and its improper extension) on the real line, the fundamentals of metric spaces are then developed, with special attention being paid to connectedness, simple connectedness and various forms of homotopy. The final chapter develops the theory of complex analysis, in which emphasis is placed on the argument, the winding number, and a general (homology) version of Cauchy's theorem which is proved using the approach due to Dixon.
Special features are the inclusio.
From Real to Complex Analysis by R. H. Dyer, D. E. Edmunds - 9783319062082
From Real to Complex AnalysisAuthor(s): R. H. Dyer, D. E. Edmunds
Format: Paperback
Publisher: Springer International Publishing AG, Switzerland
Imprint: Springer International Publishing AG
ISBN-13: 9783319062082, 978-3319062082
Synopsis
The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis and topology.
Beginning with the theory of the Riemann integral (and its improper extension) on the real line, the fundamentals of metric spaces are then developed, with special attention being paid to connectedness, simple connectedness and various forms of homotopy. The final chapter develops the theory of complex analysis, in which emphasis is placed on the argument, the winding number, and a general (homology) version of Cauchy's theorem which is proved using the approach due to Dixon.
Special features are the inclusio.
This site contains affiliate links for which we may be compensated.
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